%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB020+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:37:08 PM UTC 2026
% Result : Theorem 1.35s 0.77s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 8
% Syntax : Number of formulae : 117 ( 31 unt; 1 def)
% Number of atoms : 618 ( 0 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 805 ( 304 ~; 316 |; 164 &)
% ( 17 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-5 aty)
% Number of variables : 298 ( 276 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Z,S1,C1,S2,C2] :
( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,C1) )
=> ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C2,X)
& icext(C1,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( iext(uri_rdf_rest,S3,uri_rdf_nil)
& iext(uri_rdf_first,S3,C3)
& iext(uri_rdf_rest,S2,S3)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,C1) )
=> ( iext(uri_owl_unionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C3,X)
| icext(C2,X)
| icext(C1,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ! [X] :
~ ( icext(C2,X)
& icext(C1,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,axiom,
? [BNODE_xs,BNODE_xc,BNODE_lu1,BNODE_lu2,BNODE_lu3,BNODE_li1,BNODE_li2] :
( iext(uri_owl_complementOf,BNODE_xc,uri_ex_c2)
& iext(uri_rdf_rest,BNODE_li2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_li2,BNODE_xc)
& iext(uri_rdf_rest,BNODE_li1,BNODE_li2)
& iext(uri_rdf_first,BNODE_li1,uri_ex_c)
& iext(uri_owl_intersectionOf,BNODE_xs,BNODE_li1)
& iext(uri_rdfs_subClassOf,uri_ex_d,BNODE_xs)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,BNODE_lu3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_lu3,uri_ex_c3)
& iext(uri_rdf_rest,BNODE_lu2,BNODE_lu3)
& iext(uri_rdf_first,BNODE_lu2,uri_ex_c2)
& iext(uri_rdf_rest,BNODE_lu1,BNODE_lu2)
& iext(uri_rdf_first,BNODE_lu1,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,BNODE_lu1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [Z,C] :
( ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f14,plain,
! [Z,C] :
( ( ! [X] :
( ( icext(C,X)
| icext(Z,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) ) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [Z,C] :
( ( ! [X] :
( icext(C,X)
| icext(Z,X) )
& ! [X] :
( ~ icext(C,X)
| ~ icext(Z,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f17,plain,
! [X0,X1] :
( ic(X1)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f20,plain,
! [Z,S1,C1,S2,C2] :
( ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C2,X)
& icext(C1,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f21,plain,
! [Z,S1,C1,S2,C2] :
( ( ( ? [X] :
( ( ( icext(C2,X)
& icext(C1,X) )
| icext(Z,X) )
& ( ~ icext(C2,X)
| ~ icext(C1,X)
| ~ icext(Z,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ( ! [X] :
( ( ~ icext(C2,X)
| ~ icext(C1,X)
| icext(Z,X) )
& ( ( icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(NNF_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [S1,C1,C2] :
( ( ! [Z] :
( ? [X] :
( ( ( icext(C2,X)
& icext(C1,X) )
| icext(Z,X) )
& ( ~ icext(C2,X)
| ~ icext(C1,X)
| ~ icext(Z,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X)
| icext(Z,X) )
& ! [X] :
( ( icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f23,plain,
! [S1,C1,C2] :
( ( ! [Z] :
( ( ( ( icext(C2,sK0_skl(Z,C2,C1,S1))
& icext(C1,sK0_skl(Z,C2,C1,S1)) )
| icext(Z,sK0_skl(Z,C2,C1,S1)) )
& ( ~ icext(C2,sK0_skl(Z,C2,C1,S1))
| ~ icext(C1,sK0_skl(Z,C2,C1,S1))
| ~ icext(Z,sK0_skl(Z,C2,C1,S1)) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X)
| icext(Z,X) )
& ! [X] :
( ( icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(Z,C2,C1,S1))],[f22]) ).
fof(f27,plain,
! [X0,X1,X2,X3,X4,X5] :
( icext(X1,X5)
| ~ icext(X4,X5)
| ~ iext(uri_owl_intersectionOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4,X5] :
( icext(X3,X5)
| ~ icext(X4,X5)
| ~ iext(uri_owl_intersectionOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f33,plain,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( iext(uri_owl_unionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C3,X)
| icext(C2,X)
| icext(C1,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f34,definition,
! [C1,C2,C3,X] :
( sP0_prd(X,C3,C2,C1)
<=> ( icext(C3,X)
| icext(C2,X)
| icext(C1,X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f35,plain,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( iext(uri_owl_unionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> sP0_prd(X,C3,C2,C1) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(formula_renaming,[status(thm)],[f33,f34]) ).
fof(f36,plain,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( ( ? [X] :
( ( sP0_prd(X,C3,C2,C1)
| icext(Z,X) )
& ( ~ sP0_prd(X,C3,C2,C1)
| ~ icext(Z,X) ) )
| ~ ic(C3)
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,S1) )
& ( ( ! [X] :
( ( ~ sP0_prd(X,C3,C2,C1)
| icext(Z,X) )
& ( sP0_prd(X,C3,C2,C1)
| ~ icext(Z,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(NNF_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [S1,C1,C2,C3] :
( ( ! [Z] :
( ? [X] :
( ( sP0_prd(X,C3,C2,C1)
| icext(Z,X) )
& ( ~ sP0_prd(X,C3,C2,C1)
| ~ icext(Z,X) ) )
| ~ ic(C3)
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ~ sP0_prd(X,C3,C2,C1)
| icext(Z,X) )
& ! [X] :
( sP0_prd(X,C3,C2,C1)
| ~ icext(Z,X) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,S1) ) )
| ! [S3] :
( ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ) ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f38,plain,
! [S1,C1,C2,C3] :
( ( ! [Z] :
( ( ( sP0_prd(sK1_skl(Z,C3,C2,C1,S1),C3,C2,C1)
| icext(Z,sK1_skl(Z,C3,C2,C1,S1)) )
& ( ~ sP0_prd(sK1_skl(Z,C3,C2,C1,S1),C3,C2,C1)
| ~ icext(Z,sK1_skl(Z,C3,C2,C1,S1)) ) )
| ~ ic(C3)
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ~ sP0_prd(X,C3,C2,C1)
| icext(Z,X) )
& ! [X] :
( sP0_prd(X,C3,C2,C1)
| ~ icext(Z,X) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,S1) ) )
| ! [S3] :
( ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl(Z,C3,C2,C1,S1))],[f37]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ic(X5)
| ~ iext(uri_owl_unionOf,X6,X0)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sP0_prd(X7,X5,X3,X1)
| ~ icext(X6,X7)
| ~ iext(uri_owl_unionOf,X6,X0)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f47,plain,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f48,plain,
! [C1,C2] :
( ( ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(NNF_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
( ! [C1,C2] :
( ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f50,plain,
( ! [C1,C2] :
( ( ~ icext(C2,sK2_skl(C2,C1))
& icext(C1,sK2_skl(C2,C1)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(X,sK2_skl(C2,C1))],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ic(X0)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f53,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f54,plain,
! [X0,X1] :
( icext(X0,sK2_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f55,plain,
! [X0,X1] :
( ~ icext(X1,sK2_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f56,plain,
! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f57,plain,
! [C1,C2] :
( ( ? [X] :
( icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_disjointWith,C1,C2) )
& ( ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_disjointWith,C1,C2) ) ),
inference(NNF_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
( ! [C1,C2] :
( ? [X] :
( icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_disjointWith,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_disjointWith,C1,C2) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f59,plain,
( ! [C1,C2] :
( ( icext(C2,sK3_skl(C2,C1))
& icext(C1,sK3_skl(C2,C1)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_disjointWith,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_disjointWith,C1,C2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(X,sK3_skl(C2,C1))],[f58]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f63,plain,
! [X0,X1] :
( icext(X0,sK3_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f64,plain,
! [X0,X1] :
( icext(X1,sK3_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f65,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f66,plain,
? [BNODE_xc] :
( iext(uri_owl_complementOf,BNODE_xc,uri_ex_c2)
& ? [BNODE_li2] :
( iext(uri_rdf_rest,BNODE_li2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_li2,BNODE_xc)
& ? [BNODE_li1] :
( iext(uri_rdf_rest,BNODE_li1,BNODE_li2)
& iext(uri_rdf_first,BNODE_li1,uri_ex_c)
& ? [BNODE_xs] :
( iext(uri_owl_intersectionOf,BNODE_xs,BNODE_li1)
& iext(uri_rdfs_subClassOf,uri_ex_d,BNODE_xs)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& ? [BNODE_lu3] :
( iext(uri_rdf_rest,BNODE_lu3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_lu3,uri_ex_c3)
& ? [BNODE_lu2] :
( iext(uri_rdf_rest,BNODE_lu2,BNODE_lu3)
& iext(uri_rdf_first,BNODE_lu2,uri_ex_c2)
& ? [BNODE_lu1] :
( iext(uri_rdf_rest,BNODE_lu1,BNODE_lu2)
& iext(uri_rdf_first,BNODE_lu1,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,BNODE_lu1) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f67,plain,
( iext(uri_owl_complementOf,sK4_skl,uri_ex_c2)
& iext(uri_rdf_rest,sK5_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK5_skl,sK4_skl)
& iext(uri_rdf_rest,sK6_skl,sK5_skl)
& iext(uri_rdf_first,sK6_skl,uri_ex_c)
& iext(uri_owl_intersectionOf,sK7_skl,sK6_skl)
& iext(uri_rdfs_subClassOf,uri_ex_d,sK7_skl)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,sK8_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK8_skl,uri_ex_c3)
& iext(uri_rdf_rest,sK9_skl,sK8_skl)
& iext(uri_rdf_first,sK9_skl,uri_ex_c2)
& iext(uri_rdf_rest,sK10_skl,sK9_skl)
& iext(uri_rdf_first,sK10_skl,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,sK10_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl]),skolemize(BNODE_xc,sK4_skl),skolemize(BNODE_li2,sK5_skl),skolemize(BNODE_li1,sK6_skl),skolemize(BNODE_xs,sK7_skl),skolemize(BNODE_lu3,sK8_skl),skolemize(BNODE_lu2,sK9_skl),skolemize(BNODE_lu1,sK10_skl)],[f66]) ).
fof(f68,plain,
iext(uri_owl_unionOf,uri_ex_c,sK10_skl),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
iext(uri_rdf_first,sK10_skl,uri_ex_c1),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f70,plain,
iext(uri_rdf_rest,sK10_skl,sK9_skl),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f71,plain,
iext(uri_rdf_first,sK9_skl,uri_ex_c2),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f72,plain,
iext(uri_rdf_rest,sK9_skl,sK8_skl),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f73,plain,
iext(uri_rdf_first,sK8_skl,uri_ex_c3),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f74,plain,
iext(uri_rdf_rest,sK8_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f75,plain,
iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f76,plain,
iext(uri_rdfs_subClassOf,uri_ex_d,sK7_skl),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f77,plain,
iext(uri_owl_intersectionOf,sK7_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f78,plain,
iext(uri_rdf_first,sK6_skl,uri_ex_c),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f79,plain,
iext(uri_rdf_rest,sK6_skl,sK5_skl),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f80,plain,
iext(uri_rdf_first,sK5_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f81,plain,
iext(uri_rdf_rest,sK5_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f82,plain,
iext(uri_owl_complementOf,sK4_skl,uri_ex_c2),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f83,plain,
! [C1,C2,C3,X] :
( ( ( ~ icext(C3,X)
& ~ icext(C2,X)
& ~ icext(C1,X) )
| sP0_prd(X,C3,C2,C1) )
& ( icext(C3,X)
| icext(C2,X)
| icext(C1,X)
| ~ sP0_prd(X,C3,C2,C1) ) ),
inference(NNF_transformation,[status(thm)],[f34]) ).
fof(f84,plain,
( ! [C1,C2,C3,X] :
( ( ~ icext(C3,X)
& ~ icext(C2,X)
& ~ icext(C1,X) )
| sP0_prd(X,C3,C2,C1) )
& ! [C1,C2,C3,X] :
( icext(C3,X)
| icext(C2,X)
| icext(C1,X)
| ~ sP0_prd(X,C3,C2,C1) ) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f85,plain,
! [X0,X1,X2,X3] :
( icext(X1,X0)
| icext(X2,X0)
| icext(X3,X0)
| ~ sP0_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f89,plain,
! [X0] :
( icext(sK7_skl,X0)
| ~ icext(uri_ex_d,X0) ),
inference(resolution,[status(thm)],[f76,f53]) ).
fof(f91,plain,
ic(uri_ex_d),
inference(resolution,[status(thm)],[f76,f51]) ).
fof(f92,plain,
! [X0] :
( ~ icext(uri_ex_c1,X0)
| ~ icext(uri_ex_d,X0) ),
inference(resolution,[status(thm)],[f75,f62]) ).
fof(f96,plain,
! [X0] :
( ~ icext(uri_ex_c2,X0)
| ~ icext(sK4_skl,X0) ),
inference(resolution,[status(thm)],[f82,f18]) ).
fof(f97,plain,
ic(uri_ex_c2),
inference(resolution,[status(thm)],[f82,f17]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( icext(X0,X3)
| ~ icext(sK7_skl,X3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK6_skl,X1)
| ~ iext(uri_rdf_first,sK6_skl,X0) ),
inference(resolution,[status(thm)],[f27,f77]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
( icext(X2,X3)
| ~ icext(sK7_skl,X3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK6_skl,X1)
| ~ iext(uri_rdf_first,sK6_skl,X0) ),
inference(resolution,[status(thm)],[f28,f77]) ).
fof(f258,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| ~ icext(sK7_skl,X2)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sK6_skl,X0) ),
inference(resolution,[status(thm)],[f217,f78]) ).
fof(f259,plain,
! [X0,X1] :
( icext(X0,X1)
| ~ icext(sK7_skl,X1)
| ~ iext(uri_rdf_rest,sK5_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK5_skl,X0) ),
inference(resolution,[status(thm)],[f258,f79]) ).
fof(f260,plain,
! [X0,X1] :
( icext(X0,X1)
| ~ icext(sK7_skl,X1)
| ~ iext(uri_rdf_first,sK5_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f259,f81]) ).
fof(f261,plain,
! [X0] :
( icext(sK4_skl,X0)
| ~ icext(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f260,f80]) ).
fof(f262,plain,
! [X0] :
( ~ icext(uri_ex_c2,X0)
| ~ icext(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f261,f96]) ).
fof(f332,plain,
! [X0] :
( icext(X0,sK3_skl(uri_ex_d,X0))
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,uri_ex_d) ),
inference(resolution,[status(thm)],[f63,f91]) ).
fof(f349,plain,
( icext(uri_ex_c2,sK3_skl(uri_ex_d,uri_ex_c2))
| iext(uri_owl_disjointWith,uri_ex_c2,uri_ex_d) ),
inference(resolution,[status(thm)],[f332,f97]) ).
fof(f392,plain,
! [X0,X1,X2,X3,X4] :
( ic(X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK10_skl,X1)
| ~ iext(uri_rdf_first,sK10_skl,X0) ),
inference(resolution,[status(thm)],[f42,f68]) ).
fof(f406,plain,
( ~ icext(sK7_skl,sK3_skl(uri_ex_d,uri_ex_c2))
| iext(uri_owl_disjointWith,uri_ex_c2,uri_ex_d) ),
inference(resolution,[status(thm)],[f349,f262]) ).
fof(f489,plain,
! [X0] :
( icext(uri_ex_d,sK3_skl(uri_ex_d,X0))
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,uri_ex_d) ),
inference(resolution,[status(thm)],[f64,f91]) ).
fof(f491,plain,
! [X0,X1,X2,X3,X4,X5] :
( sP0_prd(X5,X4,X2,X0)
| ~ icext(uri_ex_c,X5)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK10_skl,X1)
| ~ iext(uri_rdf_first,sK10_skl,X0) ),
inference(resolution,[status(thm)],[f43,f68]) ).
fof(f497,plain,
! [X0] :
( icext(sK7_skl,sK3_skl(uri_ex_d,X0))
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,uri_ex_d) ),
inference(resolution,[status(thm)],[f489,f89]) ).
fof(f517,plain,
( iext(uri_owl_disjointWith,uri_ex_c2,uri_ex_d)
| ~ ic(uri_ex_c2)
| iext(uri_owl_disjointWith,uri_ex_c2,uri_ex_d) ),
inference(resolution,[status(thm)],[f497,f406]) ).
fof(f522,plain,
( ~ ic(uri_ex_c2)
| iext(uri_owl_disjointWith,uri_ex_c2,uri_ex_d) ),
inference(duplicate_literals_removal,[status(thm)],[f517]) ).
fof(f523,plain,
iext(uri_owl_disjointWith,uri_ex_c2,uri_ex_d),
inference(forward_subsumption_resolution,[status(thm)],[f522,f97]) ).
fof(f525,plain,
! [X0] :
( ~ icext(uri_ex_d,X0)
| ~ icext(uri_ex_c2,X0) ),
inference(resolution,[status(thm)],[f523,f62]) ).
fof(f741,plain,
! [X0,X1,X2,X3] :
( ic(X3)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sK10_skl,X0) ),
inference(resolution,[status(thm)],[f392,f69]) ).
fof(f760,plain,
! [X0,X1,X2] :
( ic(X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK9_skl,X1)
| ~ iext(uri_rdf_first,sK9_skl,X0) ),
inference(resolution,[status(thm)],[f741,f70]) ).
fof(f761,plain,
! [X0,X1] :
( ic(X1)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sK9_skl,X0) ),
inference(resolution,[status(thm)],[f760,f71]) ).
fof(f762,plain,
! [X0] :
( ic(X0)
| ~ iext(uri_rdf_rest,sK8_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK8_skl,X0) ),
inference(resolution,[status(thm)],[f761,f72]) ).
fof(f763,plain,
! [X0] :
( ic(X0)
| ~ iext(uri_rdf_first,sK8_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f762,f74]) ).
fof(f766,plain,
ic(uri_ex_c3),
inference(resolution,[status(thm)],[f763,f73]) ).
fof(f777,plain,
! [X0] :
( ~ icext(uri_ex_c3,sK2_skl(uri_ex_c3,X0))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,uri_ex_c3) ),
inference(resolution,[status(thm)],[f766,f55]) ).
fof(f783,plain,
! [X0] :
( icext(X0,sK2_skl(uri_ex_c3,X0))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,uri_ex_c3) ),
inference(resolution,[status(thm)],[f766,f54]) ).
fof(f832,plain,
( icext(uri_ex_d,sK2_skl(uri_ex_c3,uri_ex_d))
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3) ),
inference(resolution,[status(thm)],[f783,f91]) ).
fof(f834,plain,
icext(uri_ex_d,sK2_skl(uri_ex_c3,uri_ex_d)),
inference(forward_subsumption_resolution,[status(thm)],[f832,f65]) ).
fof(f836,plain,
~ icext(uri_ex_c2,sK2_skl(uri_ex_c3,uri_ex_d)),
inference(resolution,[status(thm)],[f834,f525]) ).
fof(f837,plain,
~ icext(uri_ex_c1,sK2_skl(uri_ex_c3,uri_ex_d)),
inference(resolution,[status(thm)],[f834,f92]) ).
fof(f838,plain,
icext(sK7_skl,sK2_skl(uri_ex_c3,uri_ex_d)),
inference(resolution,[status(thm)],[f834,f89]) ).
fof(f847,plain,
! [X0,X1,X2] :
( icext(X0,sK2_skl(uri_ex_c3,uri_ex_d))
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK6_skl,X1)
| ~ iext(uri_rdf_first,sK6_skl,X0) ),
inference(resolution,[status(thm)],[f838,f110]) ).
fof(f926,plain,
! [X0,X1] :
( icext(uri_ex_c,sK2_skl(uri_ex_c3,uri_ex_d))
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sK6_skl,X0) ),
inference(resolution,[status(thm)],[f847,f78]) ).
fof(f927,plain,
! [X0] :
( icext(uri_ex_c,sK2_skl(uri_ex_c3,uri_ex_d))
| ~ iext(uri_rdf_rest,sK5_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK5_skl,X0) ),
inference(resolution,[status(thm)],[f926,f79]) ).
fof(f928,plain,
! [X0] :
( icext(uri_ex_c,sK2_skl(uri_ex_c3,uri_ex_d))
| ~ iext(uri_rdf_first,sK5_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f927,f81]) ).
fof(f929,plain,
icext(uri_ex_c,sK2_skl(uri_ex_c3,uri_ex_d)),
inference(resolution,[status(thm)],[f928,f80]) ).
fof(f930,plain,
! [X0,X1,X2,X3,X4] :
( sP0_prd(sK2_skl(uri_ex_c3,uri_ex_d),X4,X2,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK10_skl,X1)
| ~ iext(uri_rdf_first,sK10_skl,X0) ),
inference(resolution,[status(thm)],[f929,f491]) ).
fof(f936,plain,
! [X0,X1,X2,X3] :
( sP0_prd(sK2_skl(uri_ex_c3,uri_ex_d),X3,X1,uri_ex_c1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sK10_skl,X0) ),
inference(resolution,[status(thm)],[f930,f69]) ).
fof(f975,plain,
! [X0,X1,X2] :
( sP0_prd(sK2_skl(uri_ex_c3,uri_ex_d),X2,X0,uri_ex_c1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK9_skl,X1)
| ~ iext(uri_rdf_first,sK9_skl,X0) ),
inference(resolution,[status(thm)],[f936,f70]) ).
fof(f976,plain,
! [X0,X1] :
( sP0_prd(sK2_skl(uri_ex_c3,uri_ex_d),X1,uri_ex_c2,uri_ex_c1)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sK9_skl,X0) ),
inference(resolution,[status(thm)],[f975,f71]) ).
fof(f977,plain,
! [X0] :
( sP0_prd(sK2_skl(uri_ex_c3,uri_ex_d),X0,uri_ex_c2,uri_ex_c1)
| ~ iext(uri_rdf_rest,sK8_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK8_skl,X0) ),
inference(resolution,[status(thm)],[f976,f72]) ).
fof(f978,plain,
! [X0] :
( sP0_prd(sK2_skl(uri_ex_c3,uri_ex_d),X0,uri_ex_c2,uri_ex_c1)
| ~ iext(uri_rdf_first,sK8_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f977,f74]) ).
fof(f979,plain,
sP0_prd(sK2_skl(uri_ex_c3,uri_ex_d),uri_ex_c3,uri_ex_c2,uri_ex_c1),
inference(resolution,[status(thm)],[f978,f73]) ).
fof(f980,plain,
( icext(uri_ex_c3,sK2_skl(uri_ex_c3,uri_ex_d))
| icext(uri_ex_c2,sK2_skl(uri_ex_c3,uri_ex_d))
| icext(uri_ex_c1,sK2_skl(uri_ex_c3,uri_ex_d)) ),
inference(resolution,[status(thm)],[f979,f85]) ).
fof(f981,plain,
( icext(uri_ex_c3,sK2_skl(uri_ex_c3,uri_ex_d))
| icext(uri_ex_c2,sK2_skl(uri_ex_c3,uri_ex_d)) ),
inference(forward_subsumption_resolution,[status(thm)],[f980,f837]) ).
fof(f982,plain,
icext(uri_ex_c3,sK2_skl(uri_ex_c3,uri_ex_d)),
inference(forward_subsumption_resolution,[status(thm)],[f981,f836]) ).
fof(f983,plain,
( ~ ic(uri_ex_d)
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3) ),
inference(resolution,[status(thm)],[f982,f777]) ).
fof(f987,plain,
~ ic(uri_ex_d),
inference(forward_subsumption_resolution,[status(thm)],[f983,f65]) ).
fof(f988,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f987,f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB020+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 07:45:44 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 1.35/0.77 % Refutation found
% 1.35/0.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.35/0.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.79 % Elapsed time: 0.413818 seconds
% 0.25/0.79 % CPU time: 3.044116 seconds
% 0.25/0.79 % Total memory used: 51.415 MB
% 0.25/0.79 % Net memory used: 47.044 MB
%------------------------------------------------------------------------------